Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
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Publication:5123992
DOI10.1137/19M1288267zbMATH Open1452.65167arXiv1909.05131OpenAlexW3083930494MaRDI QIDQ5123992
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Publication date: 17 September 2020
Published in: (Search for Journal in Brave)
Abstract: An efficient numerical scheme based on the scalar auxiliary variable (SAV) and marker and cell scheme (MAC) is constructed for the Navier-Stokes equations. A particular feature of the scheme is that the nonlinear term is treated explicitly while being unconditionally energy stable. A rigorous error analysis is carried out to show that both velocity and pressure approximations are second-order accurate in time and space. Numerical experiments are presented to verify the theoretical results.
Full work available at URL: https://arxiv.org/abs/1909.05131
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